Sea ice and sediment are visible in this image captured by the MODIS on the Terra satellite on June 30, 2010. The Foxe Basin separates Baffin Island (right) from Nunavut Canada (left) and is separated from the Hudson Bay by Foxe Channel (bottom). Toward the middle right of the Basin is Prince Charles Island. Foxe Basin was named after Luke Foxe, who explored the area extensively in the hopes of finding an easy sea passage across North America. Instead, his extensive exploration of Foxe Basin and the Hudson Bay proved that a safe passage did not exist in that direction, and forced future explorers to seek the passage farther north.
The green coloration in the water is likely due to sediment but could also be due to the presence of phytoplankton. This image (from October 2002) shows a large phytoplankton bloom in the basin.